{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "def getSin(amp,freq,phase,sampleList):\n",
    "    return amp*np.sin(-2*math.pi*freq*sampleList+phase)\n",
    "def getCos(amp,freq,phase,sampleList):\n",
    "    return amp*np.cos(-2*math.pi*freq*sampleList+phase)\n",
    "srate=3000\n",
    "t=np.linspace(0,1,srate)\n",
    "s1=getSin(amp=1.5, freq=30, phase=0,sampleList=t)   \n",
    "s2=getCos(amp=3, freq=5, phase=0,sampleList=t)   \n",
    "s3=getSin(amp=10, freq=100, phase=0,sampleList=t)  \n",
    "s4=getCos(amp=20, freq=120, phase=0,sampleList=t)  \n",
    "m=s1+s2+s3+s4\n",
    "#获得傅里叶系数\n",
    "fCoefs = np.fft.fft(m,srate)\n",
    "\n",
    "# 3. 获得振幅列表：每一个绕线的重心到原点的距离\n",
    "amp_list=2*np.abs(fCoefs/srate)\n",
    "\n",
    "# 把频率轴从0~1000 转变成 0~499 然后 -500~-1\n",
    "freqs = np.fft.fftfreq(len(amp_list), 1/srate)\n",
    "\n",
    "# 然后把 频率轴 和 数据 都变成 0hz 在中间，向左是负频率，向右是正频率的形式\n",
    "amp_shifted=np.fft.fftshift(amp_list)\n",
    "freq_shift=np.fft.fftshift(freqs)\n",
    "mask=(amp_shifted>1)\n",
    "amp_shifted1=mask*amp_shifted\n",
    "amp_shifted2=np.copy(amp_shifted1)\n",
    "for i in range(len(freq_shift)):\n",
    "    if ((freq_shift[i]>=110)|(freq_shift[i]<=-110)):\n",
    "        amp_shifted2[i]=0\n",
    "#逆傅里叶变换\n",
    "amp_shifted_ishift=np.fft.ifftshift(amp_shifted2)\n",
    "amp_shifted3 = amp_shifted_ishift * srate / 2\n",
    "amp_shifted_ifft=np.fft.ifft(amp_shifted3)\n",
    "fig,ax=plt.subplots(2,2,figsize=(20,5))\n",
    "#左上图混合波形\n",
    "ax[0][0].plot(m)\n",
    "ax[0][0].grid()\n",
    "ax[0][0].set_xlim([0,500])\n",
    "#右上图双重去噪后波形\n",
    "ax[0][1].plot(np.real(amp_shifted_ifft))\n",
    "ax[0][1].grid()\n",
    "ax[0][1].set_xlim([0,500])\n",
    "#左下图双重去噪之前\n",
    "ax[1][0].grid()\n",
    "ax[1][0].stem(freq_shift,amp_shifted) \n",
    "ax[1][0].set_xlim([-150,150])\n",
    "#右下图双重去噪后\n",
    "ax[1][1].grid()\n",
    "ax[1][1].stem(freq_shift,amp_shifted2) \n",
    "ax[1][1].set_xlim([-150,150]) \n",
    "ax[1][1].set_ylim([0,20])\n",
    "plt.show()"
   ]
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